259028800029 has 12 divisors (see below), whose sum is σ = 396161694396. Its totient is φ = 162527874432.

The previous prime is 259028800013. The next prime is 259028800091. The reversal of 259028800029 is 920008820952.

It can be written as a sum of positive squares in 2 ways, for example, as 221247936900 + 37780863129 = 470370^2 + 194373^2 .

It is not a de Polignac number, because 259028800029 - 2⁴ = 259028800013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259028800099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846499194 + ... + 846499499.

It is an arithmetic number, because the mean of its divisors is an integer number (33013474533).

Almost surely, 2^259028800029 is an apocalyptic number.

It is an amenable number.

259028800029 is a deficient number, since it is larger than the sum of its proper divisors (137132894367).

259028800029 is a wasteful number, since it uses less digits than its factorization.

259028800029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692998716 (or 1692998713 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 259028800029 in words is "two hundred fifty-nine billion, twenty-eight million, eight hundred thousand, twenty-nine".